if 1 is added to both numerator and denominator of a fraction, the fraction becomes 1/2. if 8 is added to both fractions, the fraction becomes 2/3. what is the fraction

Answer 1

If the fraction is a/b

(a+1)/(b+1) = 1/2
(a+8)/(b+8) = 2/3

2a+2 = b+1
(1): 2a - b = -1

3a+24 = 2b + 16
(2): 3a - 2b = -8

subtract 2x#1 from #2

3a - 2b = -8
4a - 2b = -2

-a = -6
a = 6
so, b = 13

Original fraction: 6/13

Check:
(6+1)/(13+1) = 7/14 = 1/2
(6+8)/(13+8) = 14/21 = 2/3

Answer 2

why cant you just add 1\2 and 2\3 and see what you get let s cee 1\2 + 2\3 is 3\5and cant you simplify that in too and that a whole it is 15 okay love yasi26